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Finding the Fourth Proportional to 833.36, 1,148.64 and 709.34

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Solution

The fourth proportional to 833.36, 1,148.64 and 709.34 is: 977.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.36 : 1,148.64 = 709.34 : x
  2. Step 2: Convert to fraction form
    833.36/1,148.64 = 709.34/x
  3. Step 3: Cross multiply
    833.36x = 1,148.64 × 709.34
  4. Step 4: Simplify right side
    833.36x = 814,776.30
  5. Step 5: Solve for x
    x = 814,776.30/833.36
  6. Step 6: Final answer
    x = 977.70

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.